{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8ee3dc21-4395-4c14-a1d9-56f7b78da403",
   "metadata": {},
   "source": [
    "Chapter 13\n",
    "# 有向图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d9b37cf4-04c2-43d0-b4a3-3c9c69d37ec3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f181070f-7d5d-4d4c-a520-bce1e9cf1b53",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建图\n",
    "seed = 13648\n",
    "G = nx.random_k_out_graph(10, 3, 0.5, seed=seed)\n",
    "pos = nx.spring_layout(G, seed=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "02ea6044-bbe2-47ed-a2a9-fcb59dee7e01",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 节点大小\n",
    "node_sizes = [3 + 18 * i for i in range(len(G))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d2cfec15-846a-4b2d-a954-fda40ab14f1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 边的颜色和透明度\n",
    "M = G.number_of_edges()\n",
    "edge_colors = range(2, M + 2)\n",
    "edge_alphas = [(5 + i) / (M + 4) for i in range(M)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "28e0ce47-c4d0-489f-a799-5755b76a79b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 颜色映射\n",
    "cmap = plt.cm.plasma"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "25b6a649-dccd-434c-964e-6a12dad87d05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx_nodes(G, pos, \n",
    "                       node_size=node_sizes, \n",
    "                       node_color=\"indigo\")\n",
    "edges = nx.draw_networkx_edges(\n",
    "    G,\n",
    "    pos,\n",
    "    node_size=node_sizes,\n",
    "    arrowstyle=\"->\",\n",
    "    arrowsize=10,\n",
    "    edge_color=edge_colors,\n",
    "    edge_cmap=cmap,\n",
    "    width=2)\n",
    "\n",
    "# 每条边设置不同透明度\n",
    "for i in range(M):\n",
    "    edges[i].set_alpha(edge_alphas[i])\n",
    "\n",
    "# 增加颜色条\n",
    "pc = mpl.collections.PatchCollection(edges, cmap=cmap)\n",
    "pc.set_array(edge_colors)\n",
    "ax = plt.gca()\n",
    "ax.set_axis_off()\n",
    "plt.colorbar(pc, ax=ax)\n",
    "plt.savefig('有向图.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "877c20f6-69b3-40f8-8e65-b4d9e647bdab",
   "metadata": {},
   "source": [
    "参考：\n",
    "https://networkx.org/documentation/stable/auto_examples/drawing/plot_directed.html"
   ]
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